Computational Geometry (24w5229)

The Banff International Research Station will host the “Computational Geometry” workshop in Banff from June 23 - 28, 2024.

Computational algebraic geometry is a fundamental tool in modern mathematics. At its core, computational geometry is the algorithmic solution of systems of polynomial equations. Applications span pure and applied mathematics, linking many diverse areas of science and drawing upon a wide range of techniques. It has been used to solve problems varying from the abstract (for example, finding the 'atomic pieces' from which complex geometric shapes are made) through to the concrete (for example, in robot motion planning and circuit board design). Recently, a new class of algorithms and software tools have started to emerge. Built around the principles of large-scale distributed parallel computation, High Performance Computing, and database fluency, these new tools have the potential to transform research in mathematics. New questions, out of reach of conventional methods, are already starting to be answered, and important new classifications can finally be realised and understood.

This workshop is the first to bring together the diverse groups of researchers working on large-scale parallel computations and Big Data in geometry. It will address the theoretical and practical aspects of these new computational tools; the challenges of sharing large mathematical datasets; the difficulties of designing systems accessible to a wider audience of scientists who are not programmers; and the implications for future directions of research. Parallel computational geometry is still very-much in its infancy; this pioneering workshop will help build the foundations for a new generation of advances in geometry.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta’s Advanced Education and Technology, and Mexico’s Consejo Nacional de Ciencia y Tecnología (CONACYT).